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We present an algorithm that determines, in expected O(n^2) time, whether a line exists that stabs each of a set of oriented convex polygons in R^3 with a total of n edges. If a stabbing line exists, the algorithm computes at least one such line. We show that the computation amounts to constructing a convex polytope in R^5 and inspecting its edges for intersections with a four-dimensional quadric surface, the Plucker quadric.

Details

Title
Stabbing Oriented Convex Polygons in Randomized O(n^2) Time
Creator
Computer Science Division, Publisher
Teller, Seth J., Author
Hohmeyer, Michael E., Author
Published
1992-01-01
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
CSD-92-669
Type
Text
Format
technical reports
Extent
10 p
Archive
The Engineering Library
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